Given numbers are 385,187,214,116

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 385,187,214,116 is 81236540.

Find LCM of 385,187,214,116 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 11 x 35 x 17 x 107 x 58 = 81236540

Therefore, the lowest common multiple of 385,187,214,116 is 81236540.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

385 x 187 x 214 x 116 = 1787203880

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

385 : 1, 5, 7, 11, 35, 55, 77, 385

187 : 1, 11, 17, 187

214 : 1, 2, 107, 214

116 : 1, 2, 4, 29, 58, 116

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,187,214,116, is 1.

Now, the common factors can be found like this.

385:5x 7x 11

187:11x 17

214:2x 107

116:2x 2x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11 = 22

Therefore, the value for common factors is 22.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 1787203880/(1x22)

LCM = 1787203880/22

LCM = 81236540

Thus, we can understand that the LCM of 385,187,214,116 is 81236540.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 862, 833, 558, 476
• LCM of 704, 308, 983, 695
• LCM of 339, 438, 688, 499
• LCM of 114, 971, 570, 396
• LCM of 494, 579, 571, 408

1. What is the LCM of 385, 187, 214, 116?

Answer: LCM of 385, 187, 214, 116 is 81236540.

2. How to calculate the LCM of 385, 187, 214, 116?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 385, 187, 214, 116.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.